Gradian to Radian Converter

1 Gradian = 0.015708 Radian

To convert gradians to radians, multiply by 0.015708.

Conversions between Gradian (grad) and Radian (rad) are essential in the angle category. This tool provides a quick, free, and accurate way to convert gradians to radians for academic, professional, or personal calculations. Check the detailed conversion table and formula explanation below for more context.

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Formula

rad = grad × 0.015707963

To convert Gradian to Radian, use the formula displayed above.

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Gradian to Radian: Quick Reference Table

Gradian (grad) Radian (rad)
0.001 0.000016
0.01 0.000157
0.1 0.001571
0.5 0.007854
1 0.015708
2 0.031416
5 0.07854
10 0.15708
25 0.392699
50 0.785398
100 1.570796
250 3.926991
500 7.853982
1000 15.707963

grad to rad Formula and Examples

Direct Formula rad = grad × 0.015707963
Inverse Formula grad = rad × 63.661977
Mental Math Shortcut

Divide the value by roughly 63.7 to quickly estimate the converted result.

Common Gradian to Radian Calculations

  • 5 grad = 0.07854 rad
  • 10 grad = 0.15708 rad
  • 50 grad = 0.785398 rad
  • 100 grad = 1.570796 rad
  • 500 grad = 7.853982 rad

How to Convert Gradian to Radian

How many radians are in a gradian?
1 Gradian (grad) is equal to 0.015708 Radian (rad). To convert gradians to radians, multiply your value by 0.015708.
How do I convert gradian to radian?
To convert Gradian to Radian, use the formula: Radian = Gradian × 0.015708. For example, 5 grad = 0.07854 rad.
What is the formula for grad to rad?
The formula is: rad = grad × 0.015708. This is based on the exact SI conversion factor. Use our calculator above to convert any value instantly.